87272640 has 560 divisors, whose sum is σ = 392411712. Its totient is φ = 17915904.

The previous prime is 87272617. The next prime is 87272663. The reversal of 87272640 is 4627278.

87272640 is a `hidden beast` number, since 8 + 7 + 2 + 7 + 2 + 640 = 666.

87272640 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (87272617) and next prime (87272663).

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87272595 and 87272604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358702 + ... + 2358738.

Almost surely, 2^87272640 is an apocalyptic number.

87272640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196205856).

87272640 is an abundant number, since it is smaller than the sum of its proper divisors (305139072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87272640 is a wasteful number, since it uses less digits than its factorization.

87272640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 87272640 is about 9341.9826589434. The cubic root of 87272640 is about 443.5671457163.

The spelling of 87272640 in words is "eighty-seven million, two hundred seventy-two thousand, six hundred forty".